RUMUS PENTING DI MATEMATIKA! WAJIB PAKAI INI!
Summary
TLDRIn this video, the host, jerombolin from the 'jarum Police' channel, discusses the importance and power of the algebraic property of squares, specifically focusing on the formula a^2 - b^2 = (a + b)(a - b). The video demonstrates how this formula can simplify calculations, such as 23 * 23 - 2022 * 2024, by avoiding manual multiplication and subtraction. The host provides step-by-step examples to show the efficiency of using this property, encouraging viewers to learn and apply it for faster problem-solving in mathematics.
Takeaways
- 🎓 The video is an educational tutorial by 'jerombolin' on the 'jarum Police' channel.
- 🔢 It discusses the significance and power of the algebraic identity (a^2 - b^2 = (a + b)(a - b)).
- 📚 The presenter encourages viewers to memorize and understand this concept for quick calculations.
- 🤔 An example is given to demonstrate the manual calculation of (23 * 23 - 2022 * 2024).
- ⏱ The presenter emphasizes the time-saving benefits of using the identity compared to manual calculation.
- 🔍 The process of finding 'a' in the context of the identity is explained with the example of (2023^2 - 2022).
- 📉 The script simplifies the calculation by transforming the problem into (a^2 - 1) and then further into (a^2 - b^2).
- 📈 Another example is provided to illustrate the calculation of (23 * a) where (a = 2023^2 - 2000).
- 📝 The presenter simplifies (23 * a) to (23 * 4.023) to quickly find the answer.
- 📚 The final part of the script uses the identity to solve a more complex problem involving multiple years and their squares.
- 👍 The video concludes by encouraging viewers to apply this identity to similar problems for efficiency in learning.
Q & A
What mathematical concept is primarily discussed in the video?
-The video primarily discusses the mathematical concept of the difference of squares.
How does the video suggest calculating 2023 * 2023 - 2022 * 2024?
-The video suggests using the formula a² - b² = (a + b) * (a - b) to simplify the calculation.
What is the value of a and b in the expression 2023 * 2023 - 2022 * 2024 according to the video?
-In the expression, a is 2023, b is 1 for the first part, and a is 2023, b is 1 for the second part.
How does the video simplify the expression 23 * 23 - 2022 * 2024?
-The video simplifies it by recognizing 2022 as 2023 - 1 and 2024 as 2023 + 1, then applying the difference of squares formula.
What result does the video get for the expression 2023^2 - 2022^2?
-The video gets the result 2023^2 - 2022^2 equals 2023 + 2022 times 2023 - 2022, which simplifies to 4045.
What example does the video give to demonstrate the quick calculation method using the difference of squares?
-The video uses the example 2023^2 - 2000^2 to demonstrate the quick calculation method.
How does the video calculate 2023^2 - 2000^2?
-The video calculates it as (2023 + 2000) * (2023 - 2000), resulting in 4023 * 23.
What is the final result of the calculation 4023 * 23 according to the video?
-The final result of 4023 * 23 according to the video is 92439.
What is the approach to solving the final example 2023 + 2022 * 2023 - 2022 / 2020 + 2019 * 2020 - 2019?
-The approach is to use the difference of squares property for both the numerator and the denominator, then simplify the expressions.
What is the simplified result for the final example provided in the video?
-The simplified result for the final example is 4045/4039.
What advice does the video give for recognizing when to use the difference of squares formula?
-The video advises that if you see a squared term minus another squared term, you should immediately think of using the difference of squares formula to simplify the calculation.
Outlines
📚 Mathematical Concept Discussion
The speaker introduces a mathematical concept related to the power of 'aquademin b² = a + b * a' and emphasizes its importance. They provide an example of calculating 23 * 23 minus 2022, then multiplied by 2024, and explain that doing it manually would be time-consuming. Instead, they suggest using the 'aquademin b' formula to simplify the process. The explanation includes finding the value of 'a' and using the formula to quickly get the result.
Mindmap
Keywords
💡Aquademin
💡b² = a + b * a
💡2023 - 2022
💡Manual Calculation
💡a² - b²
💡Quick Calculation
💡2023 * 2023
💡Example Problems
💡Understanding Concepts
💡Efficiency in Mathematics
Highlights
Introduction to the importance of understanding the properties of quadratic equations in the context of the video.
The presenter, jerombolin, emphasizes the power of the formula aquademin b² = a + b * a, - b.
An example calculation is introduced: 23 * 23 minus 2022, multiplied by 2024, to demonstrate manual calculation methods.
The presenter explains the faster method by using the property of aquadevin b, simplifying the calculation process.
The concept of 'a' is introduced as a key variable in the quadratic formula, with the equation a² - 22 * a - 1.
The simplification of the equation to a² - 1 is shown, highlighting the efficiency of the method.
A practical example is given where 'a' equals 2023, and the calculation of a² - b² is demonstrated.
The presenter shows the step-by-step process of solving the equation using the properties of quadratics.
The result of the calculation is presented as 4.020 3, showcasing the speed of the method.
The presenter discusses the application of the quadratic property in another example involving the numbers 23 and 2023.
The presenter explains how to quickly solve the problem by knowing the properties of quadratic equations.
The final example involves a more complex scenario with the numbers 2023, 2022, 2020, and 2019.
The presenter simplifies the complex scenario using the property of quadratic equations, making it easier to understand.
The final result of the complex calculation is given as 4000 405 and 4.039, demonstrating the efficiency of the method.
The presenter concludes by emphasizing the importance of knowing the properties of quadratic equations for faster problem-solving.
The video ends with an encouragement to continue learning and a goodbye from the presenter.
Transcripts
Halo guys kembali lagi dengan aku
jerombolin di channel jarum Police
[Musik]
Oke di video kali ini aku mau bahas
tentang pentingnya atau seberapa
parfumnya sifat aquademin b² = a + b * a
- b benar-benar ini powerful banget dan
Aku pingin teman-teman itu hafal dan
ngerti Konsep ini oke oke soal kayak
gini gua nih 23 * 23 dikurangi 2022
dikali 2024 cara lamanya ya kita manual
2023 di Bali 2023 kita hitung manual
gini tapi pasti akan sangat lama nah
cara cepatnya gimana kita lihat 2022 itu
kan 2023 - 1 Oke 2024 itu kan 2023
tambah satu kita bisa pakai sifat
aquadevin b kuadrat itu oke supaya lebih
mudah 2023 ini aku mencari a Oke jadi
ini adalah A * A
-22 A - 1 *
24 A + 1 oke yang ini jadi a kuadrat ya
a kuadrat Wangi nah sifat tadi ini jadi
apa a² - 1 tinggal a² - a² + 1 soalnya
coret dengan satu
delay kan cepet banget oke soal lain 23
dikali a = 2023 kuadrat dikurangi 2000
kuadrat a-nya berapa kalau kita nggak
tahu sifat itu kita pasti bingung dong
wah gimana nih pasti lama ngitungnya
tapi kalau kita tahu seperti itu
langsung aja ini adalah a ini adalah a b
a² - b² adalah a + b * a - b jadi ini
adalah 2023 tambah 2000 dikali 2023
dikurangi 2000 Oke ini tambah jadi 4000
23 yang ini dikurangi jadi 23 jadi 23
dikali a = 4.023 dikali 23 itu
jawabannya a = 4.020 3
cepat banget kalau misalnya kita tahu
sifat itu oke oke soal terakhir kayak
gini nih ya langsung aja kita pakai
aquader dan b kuadrat Oke 2023 tambah
2022 dikali 2023 dikurangi 2022 per ke
bawah 2020 tambah 2019 dikali 2020
dikurangi 2019 oke yang ini sama dengan
1 yang ini sama dengan satu juga jadi
tinggal yang ini sama ini yang atas 203
sampai 2022 adalah 4000 405 yang bawah
2020-2019 adalah
4.039 selesai Cepat sekali gitu guys nah
tipe soal kayak gitu banyak banget
pokoknya kalau kalian sudah lihat ada
kuadrat minus kuadrat langsung pakai
sifat ini pasti akan jauh lebih cepat
daripada kalau kalian jawab manual Oke
sebelum lihat oke sekian video kali ini
Semangat terus belajarnya dan See you
next video bye
[Musik]
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